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sisvu:academicYear 2008 (xsd:int)
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sisvu:description Basic concepts in statistics: relevance of geostatistics, measuring scales. Definition of a set of data: population, sample, sampling frame, problems with geochemical data (censored values, outliers). Theory of probability: basic concepts (probability laws, Bayes's theorem, conditional probability).Measures of central tendency: arithmetic mean, mode, median, quantiles. Measures of variability: range of variation, interquartile, mean deviation, variance, standard deviation, coefficient of variation. Testing normal populations: central limits theorem, Shapiro-Wilk W test. Correlation analysis: Pearson's coefficient of correlation, simple and multiple linear correlation, partial correlation, rank correlation coefficients. Regression analysis: simple and multiple regression, scatter diagram, least-squares method, regression diagnostics. Sampling design: a concept and size of a sample, a hierarchical sampling design based on an unbalanced sampling scheme. Analysis of variance: F-test, post-hoc tests (Scheffe, HSD for unequal N). R-mode factor analysis: vector space model, problem of the number of possible factors, interpretation of factor loadings' joint behaviour towards variables. Cluster analysis: R-mode (classification of variables) and Q-mode (classification of samples) based on hierarchical clustering, construction of dendrogram. Formulating conclusions in statistics: accepting or rejecting of null-hypothesis, level of significance. Parametric and nonparametric statistics: Wald-Wolfowitz, Kolmogorov-Smirnov and Mann-Whitney U tests. (en)
sisvu:description Osnovni pojmovi iz statistike: značaj geostatistike, mjerne skale. Definicija statističkog skupa: populacija, uzorak, okvir uzorkovanja, problemi geokemijskih podataka (cenzurirane vrijednosti, outlieri). Teorija vjerojatnosti: osnovni pojmovi (zakoni vjerojatnosti, Bayesov teorem, uvjetna vjerojatnost). Mjere središnje tendencije: pojam srednje vrijednosti, mod, medijan, kvantili. Mjere varijabilnosti: raspon varijacije, interkvartil, srednje odstupanje, varijanca, standardna devijacija, koeficijent varijacije. Testiranje normalnosti raspodjele: obilježja normalne raspodjele, Shapiro-Wilk W test. Korelacijska analiza: Pearsonov koeficijent korelacije, jednostavna i višestruka linearna korelacija, parcijalna korelacija, koeficijenti korelacije ranga. Regresijska analiza: jednostavna i višestruka regresija, dijagram rasipanja, metoda najmanjih kvadrata, regresijska dijagnostika. Plan uzorkovanja: pojam i veličina uzorka, nebalansirana hijerarhijska shema uzorkovanja. Analiza varijance: F-test, post-hoc testovi (Scheffe, HSD za nejednak broj uzoraka). Faktorska analiza: vektorski prostor, izlučivanje faktora, tumačenje povezanosti pojedinih parova varijabli pomoću faktorskih opterećenja. Klaster analiza: odjeljivanje homogenih grupa (varijabli ? R modalitet, uzoraka ? Q modalitet), konstruiranje hijerarhijskog dijagrama (dendrogram). Zaključivanje u statistici: prihvaćanje ili odbacivanje nul hipoteze, nivo značajnosti. Parametrijska i neparametrijska statistika: izbor iz neparametrijskih testova (Wald-Wolfowitz, Kolmogorov-Smirnov i Mann-Whitney U test). (hr)
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